AN SL2(ℂ) ALGEBRO-GEOMETRIC INVARIANT OF KNOTS

DOI10.1142/S0129167X11007240zbMath1269.57004arXivmath/0610752MaRDI QIDQ3094466

Weiping Li, Qing-xue Wang

Publication date: 25 October 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610752

zbMATH Keywords

knot invariantscharacter varietyhyperbolic knots

Mathematics Subject Classification ID

Plane and space curves (14H50)

Related Items (2)

Canonical components of character varieties of arithmetic two-bridge link complements ⋮ Hasse-Weil zeta function of absolutely irreducible 𝑆𝐿₂-representations of the figure 8 knot group

Cites Work

• Varieties of group representations and splittings of 3-manifolds
• Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds
• Plane curves associated to character varieties of 3-manifolds
• A proof of the finite filling conjecture
• A quadratic parabolic group
• Defining algebraic intersections
• REMARKS ON THE A-POLYNOMIAL OF A KNOT
• KNOT AND LINK INVARIANTS AND MODULI SPACE OF PARABOLIC BUNDLES
• Dehn surgery on knots
• The classification of exceptional Dehn surgeries on 2-bridge knots
• An intersection theory count of the \(\text{SL}_2({\mathbb C})\)-representations of the fundamental group of a \(3\)-manifold

This page was built for publication: AN SL₂(ℂ) ALGEBRO-GEOMETRIC INVARIANT OF KNOTS